Quelle lapacke.h Sprache: C

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******************************************************************************
* Contents: Native C interface to LAPACK
* Author: Intel Corporation
* Generated November, 2011
*****************************************************************************/

#ifndef _MKL_LAPACKE_H_

#ifndef _LAPACKE_H_
#define _LAPACKE_H_

/*
*  Turn on HAVE_LAPACK_CONFIG_H to redefine C-LAPACK datatypes
*/
#ifdef HAVE_LAPACK_CONFIG_H
#include "lapacke_config.h"
#endif

#include <stdlib.h>

#ifndef lapack_int
#define lapack_int     int
#endif

#ifndef lapack_logical
#define lapack_logical lapack_int
#endif

/* Complex types are structures equivalent to the
* Fortran complex types COMPLEX(4) and COMPLEX(8).
*
* One can also redefine the types with his own types
* for example by including in the code definitions like
*
* #define lapack_complex_float std::complex<float>
* #define lapack_complex_double std::complex<double>
*
* or define these types in the command line:
*
* -Dlapack_complex_float="std::complex<float>"
* -Dlapack_complex_double="std::complex<double>"
*/

#ifndef LAPACK_COMPLEX_CUSTOM

/* Complex type (single precision) */
#ifndef lapack_complex_float
#include <complex.h>
#define lapack_complex_float    float _Complex
#endif

#ifndef lapack_complex_float_real
#define lapack_complex_float_real(z)       (creal(z))
#endif

#ifndef lapack_complex_float_imag
#define lapack_complex_float_imag(z)       (cimag(z))
#endif

lapack_complex_float lapack_make_complex_float( float re, float im );

/* Complex type (double precision) */
#ifndef lapack_complex_double
#include <complex.h>
#define lapack_complex_double   double _Complex
#endif

#ifndef lapack_complex_double_real
#define lapack_complex_double_real(z)      (creal(z))
#endif

#ifndef lapack_complex_double_imag
#define lapack_complex_double_imag(z)       (cimag(z))
#endif

lapack_complex_double lapack_make_complex_double( double re, double im );

#endif

#ifdef __cplusplus
extern "C" {
#endif /* __cplusplus */

#ifndef LAPACKE_malloc
#define LAPACKE_malloc( size ) malloc( size )
#endif
#ifndef LAPACKE_free
#define LAPACKE_free( p )      free( p )
#endif

#define LAPACK_C2INT( x ) (lapack_int)(*((float*)&x ))
#define LAPACK_Z2INT( x ) (lapack_int)(*((double*)&x ))

#define LAPACK_ROW_MAJOR               101
#define LAPACK_COL_MAJOR               102

#define LAPACK_WORK_MEMORY_ERROR       -1010
#define LAPACK_TRANSPOSE_MEMORY_ERROR  -1011

/* Callback logical functions of one, two, or three arguments are used
*  to select eigenvalues to sort to the top left of the Schur form.
*  The value is selected if function returns TRUE (non-zero). */

typedef lapack_logical (*LAPACK_S_SELECT2) ( const float*, const float* );
typedef lapack_logical (*LAPACK_S_SELECT3)
    ( const float*, const float*, const float* );
typedef lapack_logical (*LAPACK_D_SELECT2) ( const double*, const double* );
typedef lapack_logical (*LAPACK_D_SELECT3)
    ( const double*, const double*, const double* );

typedef lapack_logical (*LAPACK_C_SELECT1) ( const lapack_complex_float* );
typedef lapack_logical (*LAPACK_C_SELECT2)
    ( const lapack_complex_float*, const lapack_complex_float* );
typedef lapack_logical (*LAPACK_Z_SELECT1) ( const lapack_complex_double* );
typedef lapack_logical (*LAPACK_Z_SELECT2)
    ( const lapack_complex_double*, const lapack_complex_double* );

#include "lapacke_mangling.h"

#define LAPACK_lsame LAPACK_GLOBAL(lsame,LSAME)
lapack_logical LAPACK_lsame( char* ca,  char* cb,
                              lapack_int lca, lapack_int lcb );

/* C-LAPACK function prototypes */

lapack_int LAPACKE_sbdsdc( int matrix_order, char uplo, char compq,
                           lapack_int n, float* d, float* e, float* u,
                           lapack_int ldu, float* vt, lapack_int ldvt, float* q,
                           lapack_int* iq );
lapack_int LAPACKE_dbdsdc( int matrix_order, char uplo, char compq,
                           lapack_int n, double* d, double* e, double* u,
                           lapack_int ldu, double* vt, lapack_int ldvt,
                           double* q, lapack_int* iq );

lapack_int LAPACKE_sbdsqr( int matrix_order, char uplo, lapack_int n,
                           lapack_int ncvt, lapack_int nru, lapack_int ncc,
                           float* d, float* e, float* vt, lapack_int ldvt,
                           float* u, lapack_int ldu, float* c, lapack_int ldc );
lapack_int LAPACKE_dbdsqr( int matrix_order, char uplo, lapack_int n,
                           lapack_int ncvt, lapack_int nru, lapack_int ncc,
                           double* d, double* e, double* vt, lapack_int ldvt,
                           double* u, lapack_int ldu, double* c,
                           lapack_int ldc );
lapack_int LAPACKE_cbdsqr( int matrix_order, char uplo, lapack_int n,
                           lapack_int ncvt, lapack_int nru, lapack_int ncc,
                           float* d, float* e, lapack_complex_float* vt,
                           lapack_int ldvt, lapack_complex_float* u,
                           lapack_int ldu, lapack_complex_float* c,
                           lapack_int ldc );
lapack_int LAPACKE_zbdsqr( int matrix_order, char uplo, lapack_int n,
                           lapack_int ncvt, lapack_int nru, lapack_int ncc,
                           double* d, double* e, lapack_complex_double* vt,
                           lapack_int ldvt, lapack_complex_double* u,
                           lapack_int ldu, lapack_complex_double* c,
                           lapack_int ldc );

lapack_int LAPACKE_sdisna( char job, lapack_int m, lapack_int n, const float* d,
                           float* sep );
lapack_int LAPACKE_ddisna( char job, lapack_int m, lapack_int n,
                           const double* d, double* sep );

lapack_int LAPACKE_sgbbrd( int matrix_order, char vect, lapack_int m,
                           lapack_int n, lapack_int ncc, lapack_int kl,
                           lapack_int ku, float* ab, lapack_int ldab, float* d,
                           float* e, float* q, lapack_int ldq, float* pt,
                           lapack_int ldpt, float* c, lapack_int ldc );
lapack_int LAPACKE_dgbbrd( int matrix_order, char vect, lapack_int m,
                           lapack_int n, lapack_int ncc, lapack_int kl,
                           lapack_int ku, double* ab, lapack_int ldab,
                           double* d, double* e, double* q, lapack_int ldq,
                           double* pt, lapack_int ldpt, double* c,
                           lapack_int ldc );
lapack_int LAPACKE_cgbbrd( int matrix_order, char vect, lapack_int m,
                           lapack_int n, lapack_int ncc, lapack_int kl,
                           lapack_int ku, lapack_complex_float* ab,
                           lapack_int ldab, float* d, float* e,
                           lapack_complex_float* q, lapack_int ldq,
                           lapack_complex_float* pt, lapack_int ldpt,
                           lapack_complex_float* c, lapack_int ldc );
lapack_int LAPACKE_zgbbrd( int matrix_order, char vect, lapack_int m,
                           lapack_int n, lapack_int ncc, lapack_int kl,
                           lapack_int ku, lapack_complex_double* ab,
                           lapack_int ldab, double* d, double* e,
                           lapack_complex_double* q, lapack_int ldq,
                           lapack_complex_double* pt, lapack_int ldpt,
                           lapack_complex_double* c, lapack_int ldc );

lapack_int LAPACKE_sgbcon( int matrix_order, char norm, lapack_int n,
                           lapack_int kl, lapack_int ku, const float* ab,
                           lapack_int ldab, const lapack_int* ipiv, float anorm,
                           float* rcond );
lapack_int LAPACKE_dgbcon( int matrix_order, char norm, lapack_int n,
                           lapack_int kl, lapack_int ku, const double* ab,
                           lapack_int ldab, const lapack_int* ipiv,
                           double anorm, double* rcond );
lapack_int LAPACKE_cgbcon( int matrix_order, char norm, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           const lapack_complex_float* ab, lapack_int ldab,
                           const lapack_int* ipiv, float anorm, float* rcond );
lapack_int LAPACKE_zgbcon( int matrix_order, char norm, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           const lapack_complex_double* ab, lapack_int ldab,
                           const lapack_int* ipiv, double anorm,
                           double* rcond );

lapack_int LAPACKE_sgbequ( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku, const float* ab,
                           lapack_int ldab, float* r, float* c, float* rowcnd,
                           float* colcnd, float* amax );
lapack_int LAPACKE_dgbequ( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku, const double* ab,
                           lapack_int ldab, double* r, double* c,
                           double* rowcnd, double* colcnd, double* amax );
lapack_int LAPACKE_cgbequ( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           const lapack_complex_float* ab, lapack_int ldab,
                           float* r, float* c, float* rowcnd, float* colcnd,
                           float* amax );
lapack_int LAPACKE_zgbequ( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           const lapack_complex_double* ab, lapack_int ldab,
                           double* r, double* c, double* rowcnd, double* colcnd,
                           double* amax );

lapack_int LAPACKE_sgbequb( int matrix_order, lapack_int m, lapack_int n,
                            lapack_int kl, lapack_int ku, const float* ab,
                            lapack_int ldab, float* r, float* c, float* rowcnd,
                            float* colcnd, float* amax );
lapack_int LAPACKE_dgbequb( int matrix_order, lapack_int m, lapack_int n,
                            lapack_int kl, lapack_int ku, const double* ab,
                            lapack_int ldab, double* r, double* c,
                            double* rowcnd, double* colcnd, double* amax );
lapack_int LAPACKE_cgbequb( int matrix_order, lapack_int m, lapack_int n,
                            lapack_int kl, lapack_int ku,
                            const lapack_complex_float* ab, lapack_int ldab,
                            float* r, float* c, float* rowcnd, float* colcnd,
                            float* amax );
lapack_int LAPACKE_zgbequb( int matrix_order, lapack_int m, lapack_int n,
                            lapack_int kl, lapack_int ku,
                            const lapack_complex_double* ab, lapack_int ldab,
                            double* r, double* c, double* rowcnd,
                            double* colcnd, double* amax );

lapack_int LAPACKE_sgbrfs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const float* ab, lapack_int ldab, const float* afb,
                           lapack_int ldafb, const lapack_int* ipiv,
                           const float* b, lapack_int ldb, float* x,
                           lapack_int ldx, float* ferr, float* berr );
lapack_int LAPACKE_dgbrfs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const double* ab, lapack_int ldab, const double* afb,
                           lapack_int ldafb, const lapack_int* ipiv,
                           const double* b, lapack_int ldb, double* x,
                           lapack_int ldx, double* ferr, double* berr );
lapack_int LAPACKE_cgbrfs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const lapack_complex_float* ab, lapack_int ldab,
                           const lapack_complex_float* afb, lapack_int ldafb,
                           const lapack_int* ipiv,
                           const lapack_complex_float* b, lapack_int ldb,
                           lapack_complex_float* x, lapack_int ldx, float* ferr,
                           float* berr );
lapack_int LAPACKE_zgbrfs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const lapack_complex_double* ab, lapack_int ldab,
                           const lapack_complex_double* afb, lapack_int ldafb,
                           const lapack_int* ipiv,
                           const lapack_complex_double* b, lapack_int ldb,
                           lapack_complex_double* x, lapack_int ldx,
                           double* ferr, double* berr );

lapack_int LAPACKE_sgbrfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, const float* ab, lapack_int ldab,
                            const float* afb, lapack_int ldafb,
                            const lapack_int* ipiv, const float* r,
                            const float* c, const float* b, lapack_int ldb,
                            float* x, lapack_int ldx, float* rcond, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_dgbrfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, const double* ab, lapack_int ldab,
                            const double* afb, lapack_int ldafb,
                            const lapack_int* ipiv, const double* r,
                            const double* c, const double* b, lapack_int ldb,
                            double* x, lapack_int ldx, double* rcond,
                            double* berr, lapack_int n_err_bnds,
                            double* err_bnds_norm, double* err_bnds_comp,
                            lapack_int nparams, double* params );
lapack_int LAPACKE_cgbrfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, const lapack_complex_float* ab,
                            lapack_int ldab, const lapack_complex_float* afb,
                            lapack_int ldafb, const lapack_int* ipiv,
                            const float* r, const float* c,
                            const lapack_complex_float* b, lapack_int ldb,
                            lapack_complex_float* x, lapack_int ldx,
                            float* rcond, float* berr, lapack_int n_err_bnds,
                            float* err_bnds_norm, float* err_bnds_comp,
                            lapack_int nparams, float* params );
lapack_int LAPACKE_zgbrfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, const lapack_complex_double* ab,
                            lapack_int ldab, const lapack_complex_double* afb,
                            lapack_int ldafb, const lapack_int* ipiv,
                            const double* r, const double* c,
                            const lapack_complex_double* b, lapack_int ldb,
                            lapack_complex_double* x, lapack_int ldx,
                            double* rcond, double* berr, lapack_int n_err_bnds,
                            double* err_bnds_norm, double* err_bnds_comp,
                            lapack_int nparams, double* params );

lapack_int LAPACKE_sgbsv( int matrix_order, lapack_int n, lapack_int kl,
                          lapack_int ku, lapack_int nrhs, float* ab,
                          lapack_int ldab, lapack_int* ipiv, float* b,
                          lapack_int ldb );
lapack_int LAPACKE_dgbsv( int matrix_order, lapack_int n, lapack_int kl,
                          lapack_int ku, lapack_int nrhs, double* ab,
                          lapack_int ldab, lapack_int* ipiv, double* b,
                          lapack_int ldb );
lapack_int LAPACKE_cgbsv( int matrix_order, lapack_int n, lapack_int kl,
                          lapack_int ku, lapack_int nrhs,
                          lapack_complex_float* ab, lapack_int ldab,
                          lapack_int* ipiv, lapack_complex_float* b,
                          lapack_int ldb );
lapack_int LAPACKE_zgbsv( int matrix_order, lapack_int n, lapack_int kl,
                          lapack_int ku, lapack_int nrhs,
                          lapack_complex_double* ab, lapack_int ldab,
                          lapack_int* ipiv, lapack_complex_double* b,
                          lapack_int ldb );

lapack_int LAPACKE_sgbsvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int kl, lapack_int ku,
                           lapack_int nrhs, float* ab, lapack_int ldab,
                           float* afb, lapack_int ldafb, lapack_int* ipiv,
                           char* equed, float* r, float* c, float* b,
                           lapack_int ldb, float* x, lapack_int ldx,
                           float* rcond, float* ferr, float* berr,
                           float* rpivot );
lapack_int LAPACKE_dgbsvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int kl, lapack_int ku,
                           lapack_int nrhs, double* ab, lapack_int ldab,
                           double* afb, lapack_int ldafb, lapack_int* ipiv,
                           char* equed, double* r, double* c, double* b,
                           lapack_int ldb, double* x, lapack_int ldx,
                           double* rcond, double* ferr, double* berr,
                           double* rpivot );
lapack_int LAPACKE_cgbsvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int kl, lapack_int ku,
                           lapack_int nrhs, lapack_complex_float* ab,
                           lapack_int ldab, lapack_complex_float* afb,
                           lapack_int ldafb, lapack_int* ipiv, char* equed,
                           float* r, float* c, lapack_complex_float* b,
                           lapack_int ldb, lapack_complex_float* x,
                           lapack_int ldx, float* rcond, float* ferr,
                           float* berr, float* rpivot );
lapack_int LAPACKE_zgbsvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int kl, lapack_int ku,
                           lapack_int nrhs, lapack_complex_double* ab,
                           lapack_int ldab, lapack_complex_double* afb,
                           lapack_int ldafb, lapack_int* ipiv, char* equed,
                           double* r, double* c, lapack_complex_double* b,
                           lapack_int ldb, lapack_complex_double* x,
                           lapack_int ldx, double* rcond, double* ferr,
                           double* berr, double* rpivot );

lapack_int LAPACKE_sgbsvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, float* ab, lapack_int ldab,
                            float* afb, lapack_int ldafb, lapack_int* ipiv,
                            char* equed, float* r, float* c, float* b,
                            lapack_int ldb, float* x, lapack_int ldx,
                            float* rcond, float* rpvgrw, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_dgbsvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, double* ab, lapack_int ldab,
                            double* afb, lapack_int ldafb, lapack_int* ipiv,
                            char* equed, double* r, double* c, double* b,
                            lapack_int ldb, double* x, lapack_int ldx,
                            double* rcond, double* rpvgrw, double* berr,
                            lapack_int n_err_bnds, double* err_bnds_norm,
                            double* err_bnds_comp, lapack_int nparams,
                            double* params );
lapack_int LAPACKE_cgbsvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, lapack_complex_float* ab,
                            lapack_int ldab, lapack_complex_float* afb,
                            lapack_int ldafb, lapack_int* ipiv, char* equed,
                            float* r, float* c, lapack_complex_float* b,
                            lapack_int ldb, lapack_complex_float* x,
                            lapack_int ldx, float* rcond, float* rpvgrw,
                            float* berr, lapack_int n_err_bnds,
                            float* err_bnds_norm, float* err_bnds_comp,
                            lapack_int nparams, float* params );
lapack_int LAPACKE_zgbsvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, lapack_complex_double* ab,
                            lapack_int ldab, lapack_complex_double* afb,
                            lapack_int ldafb, lapack_int* ipiv, char* equed,
                            double* r, double* c, lapack_complex_double* b,
                            lapack_int ldb, lapack_complex_double* x,
                            lapack_int ldx, double* rcond, double* rpvgrw,
                            double* berr, lapack_int n_err_bnds,
                            double* err_bnds_norm, double* err_bnds_comp,
                            lapack_int nparams, double* params );

lapack_int LAPACKE_sgbtrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku, float* ab,
                           lapack_int ldab, lapack_int* ipiv );
lapack_int LAPACKE_dgbtrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku, double* ab,
                           lapack_int ldab, lapack_int* ipiv );
lapack_int LAPACKE_cgbtrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           lapack_complex_float* ab, lapack_int ldab,
                           lapack_int* ipiv );
lapack_int LAPACKE_zgbtrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int kl, lapack_int ku,
                           lapack_complex_double* ab, lapack_int ldab,
                           lapack_int* ipiv );

lapack_int LAPACKE_sgbtrs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const float* ab, lapack_int ldab,
                           const lapack_int* ipiv, float* b, lapack_int ldb );
lapack_int LAPACKE_dgbtrs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const double* ab, lapack_int ldab,
                           const lapack_int* ipiv, double* b, lapack_int ldb );
lapack_int LAPACKE_cgbtrs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const lapack_complex_float* ab, lapack_int ldab,
                           const lapack_int* ipiv, lapack_complex_float* b,
                           lapack_int ldb );
lapack_int LAPACKE_zgbtrs( int matrix_order, char trans, lapack_int n,
                           lapack_int kl, lapack_int ku, lapack_int nrhs,
                           const lapack_complex_double* ab, lapack_int ldab,
                           const lapack_int* ipiv, lapack_complex_double* b,
                           lapack_int ldb );

lapack_int LAPACKE_sgebak( int matrix_order, char job, char side, lapack_int n,
                           lapack_int ilo, lapack_int ihi, const float* scale,
                           lapack_int m, float* v, lapack_int ldv );
lapack_int LAPACKE_dgebak( int matrix_order, char job, char side, lapack_int n,
                           lapack_int ilo, lapack_int ihi, const double* scale,
                           lapack_int m, double* v, lapack_int ldv );
lapack_int LAPACKE_cgebak( int matrix_order, char job, char side, lapack_int n,
                           lapack_int ilo, lapack_int ihi, const float* scale,
                           lapack_int m, lapack_complex_float* v,
                           lapack_int ldv );
lapack_int LAPACKE_zgebak( int matrix_order, char job, char side, lapack_int n,
                           lapack_int ilo, lapack_int ihi, const double* scale,
                           lapack_int m, lapack_complex_double* v,
                           lapack_int ldv );

lapack_int LAPACKE_sgebal( int matrix_order, char job, lapack_int n, float* a,
                           lapack_int lda, lapack_int* ilo, lapack_int* ihi,
                           float* scale );
lapack_int LAPACKE_dgebal( int matrix_order, char job, lapack_int n, double* a,
                           lapack_int lda, lapack_int* ilo, lapack_int* ihi,
                           double* scale );
lapack_int LAPACKE_cgebal( int matrix_order, char job, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_int* ilo, lapack_int* ihi, float* scale );
lapack_int LAPACKE_zgebal( int matrix_order, char job, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* ilo, lapack_int* ihi, double* scale );

lapack_int LAPACKE_sgebrd( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* d, float* e,
                           float* tauq, float* taup );
lapack_int LAPACKE_dgebrd( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* d, double* e,
                           double* tauq, double* taup );
lapack_int LAPACKE_cgebrd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda, float* d,
                           float* e, lapack_complex_float* tauq,
                           lapack_complex_float* taup );
lapack_int LAPACKE_zgebrd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda, double* d,
                           double* e, lapack_complex_double* tauq,
                           lapack_complex_double* taup );

lapack_int LAPACKE_sgecon( int matrix_order, char norm, lapack_int n,
                           const float* a, lapack_int lda, float anorm,
                           float* rcond );
lapack_int LAPACKE_dgecon( int matrix_order, char norm, lapack_int n,
                           const double* a, lapack_int lda, double anorm,
                           double* rcond );
lapack_int LAPACKE_cgecon( int matrix_order, char norm, lapack_int n,
                           const lapack_complex_float* a, lapack_int lda,
                           float anorm, float* rcond );
lapack_int LAPACKE_zgecon( int matrix_order, char norm, lapack_int n,
                           const lapack_complex_double* a, lapack_int lda,
                           double anorm, double* rcond );

lapack_int LAPACKE_sgeequ( int matrix_order, lapack_int m, lapack_int n,
                           const float* a, lapack_int lda, float* r, float* c,
                           float* rowcnd, float* colcnd, float* amax );
lapack_int LAPACKE_dgeequ( int matrix_order, lapack_int m, lapack_int n,
                           const double* a, lapack_int lda, double* r,
                           double* c, double* rowcnd, double* colcnd,
                           double* amax );
lapack_int LAPACKE_cgeequ( int matrix_order, lapack_int m, lapack_int n,
                           const lapack_complex_float* a, lapack_int lda,
                           float* r, float* c, float* rowcnd, float* colcnd,
                           float* amax );
lapack_int LAPACKE_zgeequ( int matrix_order, lapack_int m, lapack_int n,
                           const lapack_complex_double* a, lapack_int lda,
                           double* r, double* c, double* rowcnd, double* colcnd,
                           double* amax );

lapack_int LAPACKE_sgeequb( int matrix_order, lapack_int m, lapack_int n,
                            const float* a, lapack_int lda, float* r, float* c,
                            float* rowcnd, float* colcnd, float* amax );
lapack_int LAPACKE_dgeequb( int matrix_order, lapack_int m, lapack_int n,
                            const double* a, lapack_int lda, double* r,
                            double* c, double* rowcnd, double* colcnd,
                            double* amax );
lapack_int LAPACKE_cgeequb( int matrix_order, lapack_int m, lapack_int n,
                            const lapack_complex_float* a, lapack_int lda,
                            float* r, float* c, float* rowcnd, float* colcnd,
                            float* amax );
lapack_int LAPACKE_zgeequb( int matrix_order, lapack_int m, lapack_int n,
                            const lapack_complex_double* a, lapack_int lda,
                            double* r, double* c, double* rowcnd,
                            double* colcnd, double* amax );

lapack_int LAPACKE_sgees( int matrix_order, char jobvs, char sort,
                          LAPACK_S_SELECT2 select, lapack_int n, float* a,
                          lapack_int lda, lapack_int* sdim, float* wr,
                          float* wi, float* vs, lapack_int ldvs );
lapack_int LAPACKE_dgees( int matrix_order, char jobvs, char sort,
                          LAPACK_D_SELECT2 select, lapack_int n, double* a,
                          lapack_int lda, lapack_int* sdim, double* wr,
                          double* wi, double* vs, lapack_int ldvs );
lapack_int LAPACKE_cgees( int matrix_order, char jobvs, char sort,
                          LAPACK_C_SELECT1 select, lapack_int n,
                          lapack_complex_float* a, lapack_int lda,
                          lapack_int* sdim, lapack_complex_float* w,
                          lapack_complex_float* vs, lapack_int ldvs );
lapack_int LAPACKE_zgees( int matrix_order, char jobvs, char sort,
                          LAPACK_Z_SELECT1 select, lapack_int n,
                          lapack_complex_double* a, lapack_int lda,
                          lapack_int* sdim, lapack_complex_double* w,
                          lapack_complex_double* vs, lapack_int ldvs );

lapack_int LAPACKE_sgeesx( int matrix_order, char jobvs, char sort,
                           LAPACK_S_SELECT2 select, char sense, lapack_int n,
                           float* a, lapack_int lda, lapack_int* sdim,
                           float* wr, float* wi, float* vs, lapack_int ldvs,
                           float* rconde, float* rcondv );
lapack_int LAPACKE_dgeesx( int matrix_order, char jobvs, char sort,
                           LAPACK_D_SELECT2 select, char sense, lapack_int n,
                           double* a, lapack_int lda, lapack_int* sdim,
                           double* wr, double* wi, double* vs, lapack_int ldvs,
                           double* rconde, double* rcondv );
lapack_int LAPACKE_cgeesx( int matrix_order, char jobvs, char sort,
                           LAPACK_C_SELECT1 select, char sense, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_int* sdim, lapack_complex_float* w,
                           lapack_complex_float* vs, lapack_int ldvs,
                           float* rconde, float* rcondv );
lapack_int LAPACKE_zgeesx( int matrix_order, char jobvs, char sort,
                           LAPACK_Z_SELECT1 select, char sense, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* sdim, lapack_complex_double* w,
                           lapack_complex_double* vs, lapack_int ldvs,
                           double* rconde, double* rcondv );

lapack_int LAPACKE_sgeev( int matrix_order, char jobvl, char jobvr,
                          lapack_int n, float* a, lapack_int lda, float* wr,
                          float* wi, float* vl, lapack_int ldvl, float* vr,
                          lapack_int ldvr );
lapack_int LAPACKE_dgeev( int matrix_order, char jobvl, char jobvr,
                          lapack_int n, double* a, lapack_int lda, double* wr,
                          double* wi, double* vl, lapack_int ldvl, double* vr,
                          lapack_int ldvr );
lapack_int LAPACKE_cgeev( int matrix_order, char jobvl, char jobvr,
                          lapack_int n, lapack_complex_float* a, lapack_int lda,
                          lapack_complex_float* w, lapack_complex_float* vl,
                          lapack_int ldvl, lapack_complex_float* vr,
                          lapack_int ldvr );
lapack_int LAPACKE_zgeev( int matrix_order, char jobvl, char jobvr,
                          lapack_int n, lapack_complex_double* a,
                          lapack_int lda, lapack_complex_double* w,
                          lapack_complex_double* vl, lapack_int ldvl,
                          lapack_complex_double* vr, lapack_int ldvr );

lapack_int LAPACKE_sgeevx( int matrix_order, char balanc, char jobvl,
                           char jobvr, char sense, lapack_int n, float* a,
                           lapack_int lda, float* wr, float* wi, float* vl,
                           lapack_int ldvl, float* vr, lapack_int ldvr,
                           lapack_int* ilo, lapack_int* ihi, float* scale,
                           float* abnrm, float* rconde, float* rcondv );
lapack_int LAPACKE_dgeevx( int matrix_order, char balanc, char jobvl,
                           char jobvr, char sense, lapack_int n, double* a,
                           lapack_int lda, double* wr, double* wi, double* vl,
                           lapack_int ldvl, double* vr, lapack_int ldvr,
                           lapack_int* ilo, lapack_int* ihi, double* scale,
                           double* abnrm, double* rconde, double* rcondv );
lapack_int LAPACKE_cgeevx( int matrix_order, char balanc, char jobvl,
                           char jobvr, char sense, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* w, lapack_complex_float* vl,
                           lapack_int ldvl, lapack_complex_float* vr,
                           lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
                           float* scale, float* abnrm, float* rconde,
                           float* rcondv );
lapack_int LAPACKE_zgeevx( int matrix_order, char balanc, char jobvl,
                           char jobvr, char sense, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* w, lapack_complex_double* vl,
                           lapack_int ldvl, lapack_complex_double* vr,
                           lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
                           double* scale, double* abnrm, double* rconde,
                           double* rcondv );

lapack_int LAPACKE_sgehrd( int matrix_order, lapack_int n, lapack_int ilo,
                           lapack_int ihi, float* a, lapack_int lda,
                           float* tau );
lapack_int LAPACKE_dgehrd( int matrix_order, lapack_int n, lapack_int ilo,
                           lapack_int ihi, double* a, lapack_int lda,
                           double* tau );
lapack_int LAPACKE_cgehrd( int matrix_order, lapack_int n, lapack_int ilo,
                           lapack_int ihi, lapack_complex_float* a,
                           lapack_int lda, lapack_complex_float* tau );
lapack_int LAPACKE_zgehrd( int matrix_order, lapack_int n, lapack_int ilo,
                           lapack_int ihi, lapack_complex_double* a,
                           lapack_int lda, lapack_complex_double* tau );

lapack_int LAPACKE_sgejsv( int matrix_order, char joba, char jobu, char jobv,
                           char jobr, char jobt, char jobp, lapack_int m,
                           lapack_int n, float* a, lapack_int lda, float* sva,
                           float* u, lapack_int ldu, float* v, lapack_int ldv,
                           float* stat, lapack_int* istat );
lapack_int LAPACKE_dgejsv( int matrix_order, char joba, char jobu, char jobv,
                           char jobr, char jobt, char jobp, lapack_int m,
                           lapack_int n, double* a, lapack_int lda, double* sva,
                           double* u, lapack_int ldu, double* v, lapack_int ldv,
                           double* stat, lapack_int* istat );

lapack_int LAPACKE_sgelq2( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgelq2( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgelq2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgelq2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgelqf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgelqf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgelqf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgelqf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgels( int matrix_order, char trans, lapack_int m,
                          lapack_int n, lapack_int nrhs, float* a,
                          lapack_int lda, float* b, lapack_int ldb );
lapack_int LAPACKE_dgels( int matrix_order, char trans, lapack_int m,
                          lapack_int n, lapack_int nrhs, double* a,
                          lapack_int lda, double* b, lapack_int ldb );
lapack_int LAPACKE_cgels( int matrix_order, char trans, lapack_int m,
                          lapack_int n, lapack_int nrhs,
                          lapack_complex_float* a, lapack_int lda,
                          lapack_complex_float* b, lapack_int ldb );
lapack_int LAPACKE_zgels( int matrix_order, char trans, lapack_int m,
                          lapack_int n, lapack_int nrhs,
                          lapack_complex_double* a, lapack_int lda,
                          lapack_complex_double* b, lapack_int ldb );

lapack_int LAPACKE_sgelsd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, float* a, lapack_int lda, float* b,
                           lapack_int ldb, float* s, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_dgelsd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, double* a, lapack_int lda,
                           double* b, lapack_int ldb, double* s, double rcond,
                           lapack_int* rank );
lapack_int LAPACKE_cgelsd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_float* a,
                           lapack_int lda, lapack_complex_float* b,
                           lapack_int ldb, float* s, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_zgelsd( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_double* a,
                           lapack_int lda, lapack_complex_double* b,
                           lapack_int ldb, double* s, double rcond,
                           lapack_int* rank );

lapack_int LAPACKE_sgelss( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, float* a, lapack_int lda, float* b,
                           lapack_int ldb, float* s, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_dgelss( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, double* a, lapack_int lda,
                           double* b, lapack_int ldb, double* s, double rcond,
                           lapack_int* rank );
lapack_int LAPACKE_cgelss( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_float* a,
                           lapack_int lda, lapack_complex_float* b,
                           lapack_int ldb, float* s, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_zgelss( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_double* a,
                           lapack_int lda, lapack_complex_double* b,
                           lapack_int ldb, double* s, double rcond,
                           lapack_int* rank );

lapack_int LAPACKE_sgelsy( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, float* a, lapack_int lda, float* b,
                           lapack_int ldb, lapack_int* jpvt, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_dgelsy( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, double* a, lapack_int lda,
                           double* b, lapack_int ldb, lapack_int* jpvt,
                           double rcond, lapack_int* rank );
lapack_int LAPACKE_cgelsy( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_float* a,
                           lapack_int lda, lapack_complex_float* b,
                           lapack_int ldb, lapack_int* jpvt, float rcond,
                           lapack_int* rank );
lapack_int LAPACKE_zgelsy( int matrix_order, lapack_int m, lapack_int n,
                           lapack_int nrhs, lapack_complex_double* a,
                           lapack_int lda, lapack_complex_double* b,
                           lapack_int ldb, lapack_int* jpvt, double rcond,
                           lapack_int* rank );

lapack_int LAPACKE_sgeqlf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqlf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqlf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgeqlf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgeqp3( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, lapack_int* jpvt,
                           float* tau );
lapack_int LAPACKE_dgeqp3( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, lapack_int* jpvt,
                           double* tau );
lapack_int LAPACKE_cgeqp3( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_int* jpvt, lapack_complex_float* tau );
lapack_int LAPACKE_zgeqp3( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* jpvt, lapack_complex_double* tau );

lapack_int LAPACKE_sgeqpf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, lapack_int* jpvt,
                           float* tau );
lapack_int LAPACKE_dgeqpf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, lapack_int* jpvt,
                           double* tau );
lapack_int LAPACKE_cgeqpf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_int* jpvt, lapack_complex_float* tau );
lapack_int LAPACKE_zgeqpf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* jpvt, lapack_complex_double* tau );

lapack_int LAPACKE_sgeqr2( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqr2( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqr2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgeqr2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgeqrf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqrf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgeqrf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgeqrfp( int matrix_order, lapack_int m, lapack_int n,
                            float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqrfp( int matrix_order, lapack_int m, lapack_int n,
                            double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqrfp( int matrix_order, lapack_int m, lapack_int n,
                            lapack_complex_float* a, lapack_int lda,
                            lapack_complex_float* tau );
lapack_int LAPACKE_zgeqrfp( int matrix_order, lapack_int m, lapack_int n,
                            lapack_complex_double* a, lapack_int lda,
                            lapack_complex_double* tau );

lapack_int LAPACKE_sgerfs( int matrix_order, char trans, lapack_int n,
                           lapack_int nrhs, const float* a, lapack_int lda,
                           const float* af, lapack_int ldaf,
                           const lapack_int* ipiv, const float* b,
                           lapack_int ldb, float* x, lapack_int ldx,
                           float* ferr, float* berr );
lapack_int LAPACKE_dgerfs( int matrix_order, char trans, lapack_int n,
                           lapack_int nrhs, const double* a, lapack_int lda,
                           const double* af, lapack_int ldaf,
                           const lapack_int* ipiv, const double* b,
                           lapack_int ldb, double* x, lapack_int ldx,
                           double* ferr, double* berr );
lapack_int LAPACKE_cgerfs( int matrix_order, char trans, lapack_int n,
                           lapack_int nrhs, const lapack_complex_float* a,
                           lapack_int lda, const lapack_complex_float* af,
                           lapack_int ldaf, const lapack_int* ipiv,
                           const lapack_complex_float* b, lapack_int ldb,
                           lapack_complex_float* x, lapack_int ldx, float* ferr,
                           float* berr );
lapack_int LAPACKE_zgerfs( int matrix_order, char trans, lapack_int n,
                           lapack_int nrhs, const lapack_complex_double* a,
                           lapack_int lda, const lapack_complex_double* af,
                           lapack_int ldaf, const lapack_int* ipiv,
                           const lapack_complex_double* b, lapack_int ldb,
                           lapack_complex_double* x, lapack_int ldx,
                           double* ferr, double* berr );

lapack_int LAPACKE_sgerfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int nrhs, const float* a,
                            lapack_int lda, const float* af, lapack_int ldaf,
                            const lapack_int* ipiv, const float* r,
                            const float* c, const float* b, lapack_int ldb,
                            float* x, lapack_int ldx, float* rcond, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_dgerfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int nrhs, const double* a,
                            lapack_int lda, const double* af, lapack_int ldaf,
                            const lapack_int* ipiv, const double* r,
                            const double* c, const double* b, lapack_int ldb,
                            double* x, lapack_int ldx, double* rcond,
                            double* berr, lapack_int n_err_bnds,
                            double* err_bnds_norm, double* err_bnds_comp,
                            lapack_int nparams, double* params );
lapack_int LAPACKE_cgerfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int nrhs,
                            const lapack_complex_float* a, lapack_int lda,
                            const lapack_complex_float* af, lapack_int ldaf,
                            const lapack_int* ipiv, const float* r,
                            const float* c, const lapack_complex_float* b,
                            lapack_int ldb, lapack_complex_float* x,
                            lapack_int ldx, float* rcond, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_zgerfsx( int matrix_order, char trans, char equed,
                            lapack_int n, lapack_int nrhs,
                            const lapack_complex_double* a, lapack_int lda,
                            const lapack_complex_double* af, lapack_int ldaf,
                            const lapack_int* ipiv, const double* r,
                            const double* c, const lapack_complex_double* b,
                            lapack_int ldb, lapack_complex_double* x,
                            lapack_int ldx, double* rcond, double* berr,
                            lapack_int n_err_bnds, double* err_bnds_norm,
                            double* err_bnds_comp, lapack_int nparams,
                            double* params );

lapack_int LAPACKE_sgerqf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgerqf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgerqf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* tau );
lapack_int LAPACKE_zgerqf( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* tau );

lapack_int LAPACKE_sgesdd( int matrix_order, char jobz, lapack_int m,
                           lapack_int n, float* a, lapack_int lda, float* s,
                           float* u, lapack_int ldu, float* vt,
                           lapack_int ldvt );
lapack_int LAPACKE_dgesdd( int matrix_order, char jobz, lapack_int m,
                           lapack_int n, double* a, lapack_int lda, double* s,
                           double* u, lapack_int ldu, double* vt,
                           lapack_int ldvt );
lapack_int LAPACKE_cgesdd( int matrix_order, char jobz, lapack_int m,
                           lapack_int n, lapack_complex_float* a,
                           lapack_int lda, float* s, lapack_complex_float* u,
                           lapack_int ldu, lapack_complex_float* vt,
                           lapack_int ldvt );
lapack_int LAPACKE_zgesdd( int matrix_order, char jobz, lapack_int m,
                           lapack_int n, lapack_complex_double* a,
                           lapack_int lda, double* s, lapack_complex_double* u,
                           lapack_int ldu, lapack_complex_double* vt,
                           lapack_int ldvt );

lapack_int LAPACKE_sgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                          float* a, lapack_int lda, lapack_int* ipiv, float* b,
                          lapack_int ldb );
lapack_int LAPACKE_dgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                          double* a, lapack_int lda, lapack_int* ipiv,
                          double* b, lapack_int ldb );
lapack_int LAPACKE_cgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                          lapack_complex_float* a, lapack_int lda,
                          lapack_int* ipiv, lapack_complex_float* b,
                          lapack_int ldb );
lapack_int LAPACKE_zgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                          lapack_complex_double* a, lapack_int lda,
                          lapack_int* ipiv, lapack_complex_double* b,
                          lapack_int ldb );
lapack_int LAPACKE_dsgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                           double* a, lapack_int lda, lapack_int* ipiv,
                           double* b, lapack_int ldb, double* x, lapack_int ldx,
                           lapack_int* iter );
lapack_int LAPACKE_zcgesv( int matrix_order, lapack_int n, lapack_int nrhs,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* ipiv, lapack_complex_double* b,
                           lapack_int ldb, lapack_complex_double* x,
                           lapack_int ldx, lapack_int* iter );

lapack_int LAPACKE_sgesvd( int matrix_order, char jobu, char jobvt,
                           lapack_int m, lapack_int n, float* a, lapack_int lda,
                           float* s, float* u, lapack_int ldu, float* vt,
                           lapack_int ldvt, float* superb );
lapack_int LAPACKE_dgesvd( int matrix_order, char jobu, char jobvt,
                           lapack_int m, lapack_int n, double* a,
                           lapack_int lda, double* s, double* u, lapack_int ldu,
                           double* vt, lapack_int ldvt, double* superb );
lapack_int LAPACKE_cgesvd( int matrix_order, char jobu, char jobvt,
                           lapack_int m, lapack_int n, lapack_complex_float* a,
                           lapack_int lda, float* s, lapack_complex_float* u,
                           lapack_int ldu, lapack_complex_float* vt,
                           lapack_int ldvt, float* superb );
lapack_int LAPACKE_zgesvd( int matrix_order, char jobu, char jobvt,
                           lapack_int m, lapack_int n, lapack_complex_double* a,
                           lapack_int lda, double* s, lapack_complex_double* u,
                           lapack_int ldu, lapack_complex_double* vt,
                           lapack_int ldvt, double* superb );

lapack_int LAPACKE_sgesvj( int matrix_order, char joba, char jobu, char jobv,
                           lapack_int m, lapack_int n, float* a, lapack_int lda,
                           float* sva, lapack_int mv, float* v, lapack_int ldv,
                           float* stat );
lapack_int LAPACKE_dgesvj( int matrix_order, char joba, char jobu, char jobv,
                           lapack_int m, lapack_int n, double* a,
                           lapack_int lda, double* sva, lapack_int mv,
                           double* v, lapack_int ldv, double* stat );

lapack_int LAPACKE_sgesvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int nrhs, float* a,
                           lapack_int lda, float* af, lapack_int ldaf,
                           lapack_int* ipiv, char* equed, float* r, float* c,
                           float* b, lapack_int ldb, float* x, lapack_int ldx,
                           float* rcond, float* ferr, float* berr,
                           float* rpivot );
lapack_int LAPACKE_dgesvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int nrhs, double* a,
                           lapack_int lda, double* af, lapack_int ldaf,
                           lapack_int* ipiv, char* equed, double* r, double* c,
                           double* b, lapack_int ldb, double* x, lapack_int ldx,
                           double* rcond, double* ferr, double* berr,
                           double* rpivot );
lapack_int LAPACKE_cgesvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int nrhs,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_complex_float* af, lapack_int ldaf,
                           lapack_int* ipiv, char* equed, float* r, float* c,
                           lapack_complex_float* b, lapack_int ldb,
                           lapack_complex_float* x, lapack_int ldx,
                           float* rcond, float* ferr, float* berr,
                           float* rpivot );
lapack_int LAPACKE_zgesvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int nrhs,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_complex_double* af, lapack_int ldaf,
                           lapack_int* ipiv, char* equed, double* r, double* c,
                           lapack_complex_double* b, lapack_int ldb,
                           lapack_complex_double* x, lapack_int ldx,
                           double* rcond, double* ferr, double* berr,
                           double* rpivot );

lapack_int LAPACKE_sgesvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int nrhs, float* a,
                            lapack_int lda, float* af, lapack_int ldaf,
                            lapack_int* ipiv, char* equed, float* r, float* c,
                            float* b, lapack_int ldb, float* x, lapack_int ldx,
                            float* rcond, float* rpvgrw, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_dgesvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int nrhs, double* a,
                            lapack_int lda, double* af, lapack_int ldaf,
                            lapack_int* ipiv, char* equed, double* r, double* c,
                            double* b, lapack_int ldb, double* x,
                            lapack_int ldx, double* rcond, double* rpvgrw,
                            double* berr, lapack_int n_err_bnds,
                            double* err_bnds_norm, double* err_bnds_comp,
                            lapack_int nparams, double* params );
lapack_int LAPACKE_cgesvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int nrhs,
                            lapack_complex_float* a, lapack_int lda,
                            lapack_complex_float* af, lapack_int ldaf,
                            lapack_int* ipiv, char* equed, float* r, float* c,
                            lapack_complex_float* b, lapack_int ldb,
                            lapack_complex_float* x, lapack_int ldx,
                            float* rcond, float* rpvgrw, float* berr,
                            lapack_int n_err_bnds, float* err_bnds_norm,
                            float* err_bnds_comp, lapack_int nparams,
                            float* params );
lapack_int LAPACKE_zgesvxx( int matrix_order, char fact, char trans,
                            lapack_int n, lapack_int nrhs,
                            lapack_complex_double* a, lapack_int lda,
                            lapack_complex_double* af, lapack_int ldaf,
                            lapack_int* ipiv, char* equed, double* r, double* c,
                            lapack_complex_double* b, lapack_int ldb,
                            lapack_complex_double* x, lapack_int ldx,
                            double* rcond, double* rpvgrw, double* berr,
                            lapack_int n_err_bnds, double* err_bnds_norm,
                            double* err_bnds_comp, lapack_int nparams,
                            double* params );

lapack_int LAPACKE_sgetf2( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, lapack_int* ipiv );
lapack_int LAPACKE_dgetf2( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, lapack_int* ipiv );
lapack_int LAPACKE_cgetf2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_float* a, lapack_int lda,
                           lapack_int* ipiv );
lapack_int LAPACKE_zgetf2( int matrix_order, lapack_int m, lapack_int n,
                           lapack_complex_double* a, lapack_int lda,
                           lapack_int* ipiv );

lapack_int LAPACKE_sgetrf( int matrix_order, lapack_int m, lapack_int n,
                           float* a, lapack_int lda, lapack_int* ipiv );
lapack_int LAPACKE_dgetrf( int matrix_order, lapack_int m, lapack_int n,
                           double* a, lapack_int lda, lapack_int* ipiv );
lapack_int LAPACKE_cgetrf( int matrix_order, lapack_int m, lapack_int n,
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